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3963396096 = 2133511181
BaseRepresentation
bin1110110000111100…
…1010000000000000
3101020012211101100000
43230033022000000
531104112133341
61453141200000
7200134211442
oct35417120000
911205741300
103963396096
111754263170
12927400000
134b21768ba
14298546492
15182e448b6
hexec3ca000

3963396096 has 336 divisors, whose sum is σ = 13024091808. Its totient is φ = 1194393600.

The previous prime is 3963396091. The next prime is 3963396139. The reversal of 3963396096 is 6906933693.

It is a super-2 number, since 2×39633960962 = 31417017227576082432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3963396091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21897126 + ... + 21897306.

It is an arithmetic number, because the mean of its divisors is an integer number (38762178).

Almost surely, 23963396096 is an apocalyptic number.

3963396096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3963396096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6512045904).

3963396096 is an abundant number, since it is smaller than the sum of its proper divisors (9060695712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3963396096 is an equidigital number, since it uses as much as digits as its factorization.

3963396096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4251528, while the sum is 54.

The square root of 3963396096 is about 62955.5088614174. The cubic root of 3963396096 is about 1582.5441168268.

The spelling of 3963396096 in words is "three billion, nine hundred sixty-three million, three hundred ninety-six thousand, ninety-six".